Results 61 to 70 of about 342,447 (287)

The Sturm-Liouville inverse spectral problem with boundary conditions depending on the spectral parameter [PDF]

Opuscula Mathematica, 2005
We present the complete version including proofs of the results announced in [van der Mee C., Pivovarchik V.: A Sturm-Liouville spectral problem with boundary conditions depending on the spectral parameter. Funct. Anal. Appl.
Cornelis van der Mee, Vjacheslav Pivovarchik   +1 more
doaj  

Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem

Electronic Journal of Qualitative Theory of Differential Equations, 2019
This work deals with the interior transmission eigenvalue problem: $y'' + {k^2}\eta \left( r \right)y = 0$ with boundary conditions ${y\left( 0 \right) = 0 = y'\left( 1 \right)\frac{{\sin k}}{k} - y\left( 1 \right)\cos k},$ where the function $\eta(r ...
Xiao-Chuan Xu, Chuan-Fu Yang, Sergey Buterin, Vjacheslav Yurko   +3 more
doaj   +1 more source

Direct and Inverse Problems of Spectral Analysis for Arbitrary-Order Differential Operators with Nonintegrable Regular Singularities

Современная математика: Фундаментальные направления, 2021
A short review is presented of results on the spectral theory of arbitrary order ordinary differential operators with non-integrable regular singularities.
V. A. Yurko
doaj   +1 more source

Inverse problems in spectral geometry

, 2011
In this survey we review positive inverse spectral and inverse resonant results for the following kinds of problems: Laplacians on bounded domains, Laplace-Beltrami operators on compact manifolds, Schr dinger operators, Laplacians on exterior domains, and Laplacians on manifolds which are hyperbolic near infinity.
Datchev, Kiril, Hezari, Hamid
openaire   +2 more sources

Circular‐Polarization‐Sensitive Organic Photodetectors with a Chiral Nanopatterned Electrode Inverse‐Designed by Genetic Algorithm

Advanced Functional Materials, EarlyView.
A chiral photodetector capable of selectively distinguishing left‐ and right‐handed circularly polarized light is experimentally demonstrated. The device, which features a nanopatterned electrode inverse‐designed by a genetic algorithm within a metal–dielectric–metal nanocavity that incorporates a vacuum‐deposited small‐molecule multilayer, exhibits ...
Kyung Ryoul Park, Jewoong Lee, In‐Suk Choi, Changsoon Kim   +3 more
wiley   +1 more source

Diophantine tori and non-selfadjoint inverse spectral problems [PDF]

Mathematical Research Letters, 2013
We study a semiclassical inverse spectral problem based on a spectral asymptotics result of arXiv:math/0502032, which applies to small non-selfadjoint perturbations of selfadjoint $h$-pseudodifferential operators in dimension 2. The eigenvalues in a suitable complex window have an expansion in terms of a quantum Birkhoff normal form for the operator ...
openaire   +2 more sources

Covalent Organic Frameworks for Photocatalytic CO2 Reduction: Metal Integration Principles, Strategies and Functions

Advanced Functional Materials, EarlyView.
Covalent organic frameworks (COFs) with metals have been recognized as versatile platforms for photocatalytic CO2 reduction (CO2PRR). Herein, an overview of metal integration strategies for COFs is systematically summarized. Regulatory mechanisms and structure–activity relationships between metal integration and COF‐based CO2PRR are emphasized.
Jie He, Minxian Zhang, Jinqiang Zhang, Hongqi Sun, Shaobin Wang, Xiaoguang Duan   +5 more
wiley   +1 more source

Inverse spectral problems for energy-dependent Sturm-Liouville equations

, 2012
We study the inverse spectral problem of reconstructing energy-dependent Sturm-Liouville equations from their Dirichlet spectra and sequences of the norming constants.
Ablowitz M J, Adamjan V, Albeverio S, Albeverio S, Albeverio S, Engel K-J, Gasymov M G, Gasymov M G, Gel'fand I, Gohberg I, Gohberg I C, Gusei˘nov G S, Gusei˘nov I M, Hryniv R O, Hryniv R O, Jaulent M, Jaulent M, Jaulent M, Jonas P, Kamimura Y, Kappeler T, Kato T, Levitan B M, Maksudov F G, Maksudov F G, Markus A S, Nabiev A A, Nabiev A A, Nabiev I M, Nabiev I M, Nataliya Pronska, Pronska N, Pronska N, Pronska N, Riesz F, Rostyslav Hryniv, Sattinger D H, Savchuk A M, Savchuk A M, Savchuk A M, Savchuk A M, Serier F, Yamamoto M   +42 more
core   +1 more source

Imaging of Biphoton States: Fundamentals and Applications

Advanced Functional Materials, EarlyView.
Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley   +1 more source

An inverse spectral problem for Sturm-Liouvile operator with integral delay

Electronic Journal of Differential Equations, 2017
In this article, we study an inverse spectral problem for Sturm-Liouville operator with integral delay. We prove that the standard spectral asymptotic conditions are necessary and sufficient for unique solvability of the inverse problem.
Manaf Dzh. Manafov
doaj